Pith Number

pith:M4RZFP2J

pith:2017:M4RZFP2J2MRG7TMYTR53XW4GOO

not attested not anchored not stored refs pending

Ranks of rational points of the Jacobian varieties of hyperelliptic curves

Bo-Hae Im, Byoung Du Kim

arxiv:1702.07837 v1 · 2017-02-25 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4RZFP2J2MRG7TMYTR53XW4GOO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:49:56.915387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672392bf49d3226fcd989c7bbbdb867383e4a850da71a96f6b4c38df4ce4c4e3

Aliases

arxiv: 1702.07837 · arxiv_version: 1702.07837v1 · doi: 10.48550/arxiv.1702.07837 · pith_short_12: M4RZFP2J2MRG · pith_short_16: M4RZFP2J2MRG7TMY · pith_short_8: M4RZFP2J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M4RZFP2J2MRG7TMYTR53XW4GOO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 672392bf49d3226fcd989c7bbbdb867383e4a850da71a96f6b4c38df4ce4c4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87351bedceb371cf4513e4f04b581849819a0cacd0149c7f1043c126208df10d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-25T06:38:50Z",
    "title_canon_sha256": "8d1a67e88de4c493f22f941b18717b681fb5c4a335a0c63af37bfe2fbe10a536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07837",
    "kind": "arxiv",
    "version": 1
  }
}